1). Calculate the resultant force on a gymnast of weight 420N when she has a horizontal force on her of 1200N.
Answer: I worked out 1270N as the resultant force, using pythagoras' theorem, but I can't work out the angle. I tried doing cos−1(1270420)=θ=70.7∘ but the answer should be 19.3∘. What am I doing wrong?
You're correct, you're just measuring a different angle to whoever wrote the markscheme. Notice that 70.7 + 19.3 = 90. One is to the horizontal, one is to the vertical.
So how do I know which angle I'm supposed to be measuring? This is the biggest problem I'm having at the moment as I'm just guessing the angle and hoping it's the right one.